164740413600 has 864 divisors, whose sum is σ = 694876775040. Its totient is φ = 36898467840.

The previous prime is 164740413599. The next prime is 164740413631. The reversal of 164740413600 is 6314047461.

164740413600 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 4 + 0 + 41 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 526327044 + ... + 526327356.

Almost surely, 2^164740413600 is an apocalyptic number.

164740413600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164740413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347438387520).

164740413600 is an abundant number, since it is smaller than the sum of its proper divisors (530136361440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164740413600 is a wasteful number, since it uses less digits than its factorization.

164740413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 164740413600 in words is "one hundred sixty-four billion, seven hundred forty million, four hundred thirteen thousand, six hundred".